Behaviour in shear flow of monodisperse polystyrene solutions: analysis and correlations for steady flow and shear stress relaxation

Attané, P.; Roy, Pascale Le; Pierrard, J. M.; Turrel, G.

doi:10.1016/0377-0257(87)87004-0

Cited by 19 publications

(11 citation statements)

References 9 publications

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“…However, the published viscosity data do not in general extend below ~/0/5 in comparison to polymer characterization in which the range of shear rates is usually such that viscosity data cover at least a few decades [2,10]. Nevertheless a powerlaw behaviour, r/~ 9-', could fit the data of the various authors (n varying from 0.5 [4,11] to 0.6 [11,5,8].…”

Section: Hscoelastic Behaviour Of Asphaltsmentioning

confidence: 88%

“…This indicates the existence of a well defined long relaxation time. It had been shown [17,10] that for various polymer melts and solutions the long relaxation time is independent of the previous shear rate. Moreover, for these fluids the quantities rl-(~, t)" rlo/rl 2 ()) and q/T ()), t)' ~/0/~ul (~)" t/())) tend to converge at long times for all shear rates.…”

Section: Analysis Of Relaxation Datamentioning

confidence: 99%

See 1 more Smart Citation

Non-linear behaviour of asphalts in steady and transient shear flow

Attané¹,

Soucémarianadin²,

Turrel³

et al. 1984

Rheol Acta

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Steady-state and transient shear stress and normal stress data were obtained for four asphalts with a modified Weissenberg Rheogoniometer. Interest was specially related to non-linear behaviour at high shear-rates. The time-temperature superposition principle was found to hold in non-linear behaviour. Moreover, steady-state and transient data could be plotted as master curves irrespective of the nature of the asphalts. In particular, the master curve of steadystate viscosity could be extended to results published in the literature. In the nonlinear region the shear stress relaxation after cessation of a steady shear rate becomes a function of ~ t only and is related to the primary normal-stress coefficient, as predicted by the Yamamoto equation. In the shear stress growth experiment an overshoot is obtained at a constant strain close to 1.5, independent of the rate of strain.

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Section: Hscoelastic Behaviour Of Asphaltsmentioning

confidence: 88%

Section: Analysis Of Relaxation Datamentioning

confidence: 99%

Non-linear behaviour of asphalts in steady and transient shear flow

Attané¹,

Soucémarianadin²,

Turrel³

et al. 1984

Rheol Acta

Self Cite

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“…As an example, a very high molecular weight 5% polystyrene solution (about 4000 kg/mole) will have a maximal relaxation time of no more than 1s at room temperature. 22 At lower molecular weights or higher temperature, this relaxation time will be several decades lower. As evaporation takes place, the polymer concentration increases.…”

Section: Computational Detailsmentioning

confidence: 99%

Mechanism of spontaneous hole formation in thin polymeric films

Rasmussen

Marín

et al. 2012

Phys. Rev. B

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“…Those kernel functions calculated from the shear material functions I/+ (?, t), 1/-(~, t), ~ui ~ (~, t) and q/i-(~, t) are calculated specifically from the data obtained by Attané [5,6] for a 0.25 g/tal monodisperse polystyrene solution ofmolecular weight 1.6 • 10 6. Since no data of q} (8, t) were found for polystyrene solutions, kernel functions based on the function r/}(e, t) were calculated for a different material. The data obtained by Meissner [7] in both shear stress and uniaxial extensional stress start-up experiments on low density polyethylene melts, formely called melt I; were used for this purpose.…”

Section: (Il) Uniaxial Extension (Elongation)mentioning

confidence: 99%

Selection of kernel functions used in a new constitutive equation for viscoelastic fluids

1986

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Abstract." A selection of kernel functions is given to be used in a new integral constitutive equation proposed by Piau whereby the deviatoric stress is calculated from the integral of the history of the past intrinsic rate of rotation and rate of deformation tensors through a representation theorem. Piau has demonstrated the objectivity of a frame moving with a given particle whose axis are directed along the eigenvectors of the rate of deformation tensor. The use of such a framework provides a new approach in the attempt to reduce the computational difficulties associated with conventional constitutive equations written in co-deformational or co-rotational reference frames.The shear and primary normal-stress material functions and the extensional (elongational) stress growth function are defined for the proposed integral constitutive equation. These material functions are used to calculate the kernel functions using steady state, stress relaxation and stress growth data of Attané in simple shear flow for monodisperse polystyrene solutions. The shear and extensional stress growth data of Meissner for a polyethylene melt are also used to show the flexibility of the rheological model.The material functions are first written in terms of five monotonically decreasing functions of the time lag between the past and the present time. Then kernel functions are chosen such that when substituted in the new integral constitutive equation they yield the functions used to describe the data. A further condition imposed on the normalized kernel functions is that they be decreasing functions of time lag.

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Behaviour in shear flow of monodisperse polystyrene solutions: analysis and correlations for steady flow and shear stress relaxation

Cited by 19 publications

References 9 publications

Non-linear behaviour of asphalts in steady and transient shear flow

Non-linear behaviour of asphalts in steady and transient shear flow

Mechanism of spontaneous hole formation in thin polymeric films

Selection of kernel functions used in a new constitutive equation for viscoelastic fluids

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